Practice Test Discussion

Q)

A tank has three pipes A, B and C. Pipe A and B can fill the tank in 3 and 4h respectively. While pipe C can empty the completely filled tank in 1 hour. If all the pipes are opened in order at 3 pm, 4 pm and 5 pm respectively at what time the cistern will be empty?

[SSC 2007]


  • Explanation

    Let the capacity of the tank be x L

    As per the question,

    Quantity of water emptied by the leak in 1 h =x10L

    And to empty 4L in 1h=x15

    Quantity of water filled by the tap in 1 min = 4L

    ∴1h=4L

    As per the question,

    x10-x15=2403x-2x30=240x30=240 x=240×30=7200L

    Hence option D is correct.

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    Pipes and cisterns

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